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Finding the Fourth Proportional to 72.43, 99.83 and 54.07

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Solution

The fourth proportional to 72.43, 99.83 and 54.07 is: 74.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.43 : 99.83 = 54.07 : x
  2. Step 2: Convert to fraction form
    72.43/99.83 = 54.07/x
  3. Step 3: Cross multiply
    72.43x = 99.83 × 54.07
  4. Step 4: Simplify right side
    72.43x = 5,397.69
  5. Step 5: Solve for x
    x = 5,397.69/72.43
  6. Step 6: Final answer
    x = 74.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.